125538000 has 320 divisors, whose sum is σ = 479731200. Its totient is φ = 28224000.

The previous prime is 125537981. The next prime is 125538041. The reversal of 125538000 is 835521.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2057970 + ... + 2058030.

It is an arithmetic number, because the mean of its divisors is an integer number (1499160).

Almost surely, 2^125538000 is an apocalyptic number.

125538000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239865600).

125538000 is an abundant number, since it is smaller than the sum of its proper divisors (354193200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125538000 is an equidigital number, since it uses as much as digits as its factorization.

125538000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 125538000 is about 11204.3741458414. The cubic root of 125538000 is about 500.7163066528.

The spelling of 125538000 in words is "one hundred twenty-five million, five hundred thirty-eight thousand".